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135514550432130 = 235231274153372367
BaseRepresentation
bin11110110011111111110000…
…101000111111000110000010
3122202211001202000112122221020
4132303333300220333012002
5120230232244402312010
61200114305224010310
740354413614033232
oct3663776050770602
9582731660478836
10135514550432130
113a1a7441953201
1213247764900996
135a7cc7613816c
142566d213a3cc2
1510a00a000c470
hex7b3ff0a3f182

135514550432130 has 128 divisors (see below), whose sum is σ = 342131098779648. Its totient is φ = 34285507103232.

The previous prime is 135514550432111. The next prime is 135514550432161. The reversal of 135514550432130 is 31234055415531.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363741207 + ... + 364113573.

It is an arithmetic number, because the mean of its divisors is an integer number (2672899209216).

Almost surely, 2135514550432130 is an apocalyptic number.

135514550432130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135514550432130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171065549389824).

135514550432130 is an abundant number, since it is smaller than the sum of its proper divisors (206616548347518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135514550432130 is a wasteful number, since it uses less digits than its factorization.

135514550432130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376680.

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 135514550432130 in words is "one hundred thirty-five trillion, five hundred fourteen billion, five hundred fifty million, four hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 127 138 230 254 345 381 635 690 762 1270 1905 2921 3810 4153 5842 8306 8763 12459 14605 17526 20765 24918 29210 41530 43815 62295 87630 95519 124590 191038 286557 372367 477595 527431 573114 744734 955190 1054862 1117101 1432785 1582293 1861835 2234202 2637155 2865570 3164586 3723670 5274310 5585505 7911465 8564441 11171010 12130913 15822930 17128882 24261826 25693323 36392739 42822205 47290609 51386646 60654565 72785478 85644410 94581218 121309130 128466615 141871827 181963695 236453045 256933230 283743654 363927390 472906090 709359135 1087684007 1418718270 1546440151 2175368014 3092880302 3263052021 4639320453 5438420035 6526104042 7732200755 9278640906 10876840070 15464401510 16315260105 23196602265 32630520210 35568123473 46393204530 71136246946 106704370419 177840617365 196397899177 213408740838 355681234730 392795798354 533521852095 589193697531 981989495885 1067043704190 1178387395062 1963978991770 2945968487655 4517151681071 5891936975310 9034303362142 13551455043213 22585758405355 27102910086426 45171516810710 67757275216065 135514550432130